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136344 = 233131923
BaseRepresentation
bin100001010010011000
320221000210
4201102120
513330334
62531120
71105335
oct412230
9227023
10136344
119348a
1266aa0
134a0a0
143798c
152a5e9
hex21498

136344 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 38016.

The previous prime is 136343. The next prime is 136351. The reversal of 136344 is 443631.

136344 = T65 + T66 + ... + T102.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5917 + ... + 5939.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2136344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

136344 is an abundant number, since it is smaller than the sum of its proper divisors (266856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136344 is a wasteful number, since it uses less digits than its factorization.

136344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 136344 is about 369.2478842187. The cubic root of 136344 is about 51.4689541730.

Adding to 136344 its reverse (443631), we get a palindrome (579975).

The spelling of 136344 in words is "one hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 92 104 114 138 152 156 184 228 247 276 299 312 437 456 494 552 598 741 874 897 988 1196 1311 1482 1748 1794 1976 2392 2622 2964 3496 3588 5244 5681 5928 7176 10488 11362 17043 22724 34086 45448 68172 136344